Bluebook SAT Test Nonlinear Equations and Systems 5

Question 1

Using the quadratic formula, what are the solutions to 2x² − 4x − 6 = 0?

Accepted Answer

x = 3 and x = −1

Answer

x = 2 and x = −3

Answer

x = 3 and x = 1

Answer

x = −3 and x = 1

Question 2

The parabola y = (x − 3)² − 4 intersects the x-axis at which two values of x?

Accepted Answer

x = 1 and x = 5

Answer

x = 3 and x = −3

Answer

x = 7 and x = −1

Answer

x = 5 and x = −5

Question 3

How many solutions does the system y = x² + 3x + 2 and y = x + 2 have?

Accepted Answer

2

Answer

0

Answer

1

Answer

Infinitely many

Question 4

The equation x² + px + 16 = 0 has two equal real roots. What is the positive value of p?

Accepted Answer

8

Answer

4

Answer

6

Answer

10

Question 5

A parabola y = x² − 4x + c does not intersect the x-axis. Which value of c satisfies this condition?

Accepted Answer

c = 5

Answer

c = 2

Answer

c = 4

Answer

c = 1

Question 6

If x² − 7x + 10 = 0, what is the value of x² − 7x?

Accepted Answer

−10

Answer

7

Answer

10

Answer

17

Question 7

Which of the following systems has exactly one solution?

Accepted Answer

y = (x−1)² and y = 0

Answer

y = x² and y = −1

Answer

y = x² and y = 0

Answer

y = x² − 4 and y = −5